Factor Group and Torsion Group
Not what you're looking for?
Heres my problem.
Consider the group <R,+> (reals under addition) and its normal subgroups Z (integers) and Q (rationals0. (These are normal because R is abelian,
of course.)
(i) Find an element of Q/Z of order 350.
(ii) Show that Q/Z is the torsion subgroup of R/Z. This problem is quite straightforward if you use the definitions and stay focussed; in
particular, pay attention to the definition of a rational number.
(iii) Show that R/Q is torsion free. Think carefully about the elements of R that are not in Q here.
Purchase this Solution
Solution Summary
Factor Groups and Torsion Groups are investigated. The solution is detailed and well presented.
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.